101030249088 has 192 divisors, whose sum is σ = 293289745320. Its totient is φ = 33381089280.

The previous prime is 101030249063. The next prime is 101030249119. The reversal of 101030249088 is 880942030101.

It can be written as a sum of positive squares in 4 ways, for example, as 100620915264 + 409333824 = 317208^2 + 20232^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×101030249088² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76479468 + ... + 76480788.

Almost surely, 2^101030249088 is an apocalyptic number.

101030249088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101030249088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146644872660).

101030249088 is an abundant number, since it is smaller than the sum of its proper divisors (192259496232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101030249088 is a wasteful number, since it uses less digits than its factorization.

101030249088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 101030249088 its reverse (880942030101), we get a palindrome (981972279189).

The spelling of 101030249088 in words is "one hundred one billion, thirty million, two hundred forty-nine thousand, eighty-eight".